The solution of certain initial boundary-value problems for the linearized Korteweg-deVries equation

A. S. Fokas, Beatrice Pelloni

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

Several initial boundary value problems for the linearized KdV equation are solved. These problems are formulated in the quarter plane or in a wedge shaped domain and they involve Dirichlet, Neumann as well as changing type boundary conditions. The solution, given in terms of an explicit integral representation, is obtained by using the new spectral method introduced in Fokas (1997). The extension of these results to the KdV equation is also briefly discussed.
Original languageEnglish
Pages (from-to)645-657
Number of pages13
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume454
Issue number1970
DOIs
Publication statusPublished - Feb 1998

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